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Finding the Fourth Proportional to 74,243, 102,455.34 and 40,709.72

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Solution

The fourth proportional to 74,243, 102,455.34 and 40,709.72 is: 56,179.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,243 : 102,455.34 = 40,709.72 : x
  2. Step 2: Convert to fraction form
    74,243/102,455.34 = 40,709.72/x
  3. Step 3: Cross multiply
    74,243x = 102,455.34 × 40,709.72
  4. Step 4: Simplify right side
    74,243x = 4,170,928,203.90
  5. Step 5: Solve for x
    x = 4,170,928,203.90/74,243
  6. Step 6: Final answer
    x = 56,179.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.